为了分析抗滑桩加固边坡的稳定性,将整体分析法应用于抗滑桩加固边坡的稳定性计算中,重新推导了加固边坡安全系数的计算公式。该方法以整个滑坡体代替传统的条块为分析对象,通过建立三力矩平衡方程而非传统的水平力平衡、竖直力平衡以及对一点的力矩平衡,实现了滑体的整体极限平衡稳定性分析。所得到的方程是刻度良好的,存在唯一的、安全系数为正的实数解,收敛范围大且迅速,具有良好的数值特性,并且适用于各种形式的滑动破裂面,可以方便地从二维向三维进行推广。最后通过算例验证了所提方法的有效性。
Abstract
To analyze the stability of reinforced slopes, on the basis of the global analysis of slope stability, a new procedure is proposed to compute the factor of safety of slopes reinforced with piles. By taking the whole sliding body, instead of individual slices, as the analysis object, three equilibrium equations are formulated according to the moment equilibrium conditions. But in traditional method, we establish two force equilibrium equations(horizontal direction and vertical direction) and one moment equilibrium equation at a given point. By using the new method, we can obtain unique real number solution of the equation and positive safety factor. This method is not only suitable for slopes with slide surfaces of different shapes, but also possesses excellent numerical properties with a very large scope of convergence and a very rapid convergent rate.Moreover, it can be easily extended from two-dimension to three-dimension. Finaly, two examples are given to prove the effectiveness of this method.
关键词
边坡稳定性 /
抗滑桩 /
极限平衡 /
整体分析 /
数值特性
Key words
slope stability /
anti-sliding pile /
limit equilibrium /
global analysis /
numerical feature
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基金
国家自然科学基金项目(11172313);国家重点基础研究计划项目(2011CB013505,2014CB047100)
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